Currently displaying 1 – 12 of 12

Showing per page

Order by Relevance | Title | Year of publication

A recursion formula for the moments of the gaussian orthogonal ensemble

M. Ledoux — 2009

Annales de l'I.H.P. Probabilités et statistiques

We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...

Page 1

Download Results (CSV)